Question

find the perimeter of rectangle whose length is 5 x - y and breadth is 2 x + y . pls tell the answer

Answer 1

Given : The length and Breadth of Rectangle are 5x-y and 2x-y respectively.

Need To Find : Perimeter of Bedsheet.

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

❍ Finding Perimeter of Bedsheet using the Formula for Perimeter of Rectangle is given by :

$\dag\frak{\underline { As\:We \:know\:that,}}$

⠀⠀⠀⠀⠀ $\implies {\underline {\sf{ Perimeter _{(Rectangle)} = 2 ( l + b ) \:units .}}}$

⠀⠀⠀⠀⠀Here l is the Length of Rectangle and b is the Breadth of Rectangle .

⠀⠀⠀⠀⠀⠀$\underline {\bf{\star\:Now \: By \: Substituting \: the \: Given \: Values \::}}$

⠀⠀⠀⠀⠀ $:\implies {\tt{ Perimeter _{(Rectangle)} = 2 ( 5x - y + 2x + y ) \:units .}}$

⠀⠀⠀⠀⠀ $:\implies {\tt{ Perimeter _{(Rectangle)} = 2 ( 5x \cancel{- y} + 2x \cancel{+ y} ) \:units .}}$

⠀⠀⠀⠀⠀ $:\implies {\tt{ Perimeter _{(Rectangle)} = 2 (5x + 2x ) \:units .}}$

⠀⠀⠀⠀⠀ $:\implies {\tt{ Perimeter _{(Rectangle)} = 2 (7x ) \:units .}}$

⠀⠀⠀⠀⠀$\underline {\boxed{\pink{ \mathrm {  Perimeter _{(Rectangle)} = 14 \:x\:}}}}\:\bf{\bigstar}$

Therefore,

⠀⠀⠀⠀⠀$\therefore {\underline { \mathrm {  Perimeter \:of\:Bedsheet\:is\:14x\: }}}$

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

$\begin{gathered}\boxed{\begin {array}{cc}\\ \dag\quad \Large\underline{\bf Formulas\:of\:Areas:-}\\ \\ \star\sf Square=(side)^2\\ \\ \star\sf Rectangle=Length\times Breadth \\\\ \star\sf Triangle=\dfrac{1}{2}\times Breadth\times Height \\\\ \star \sf Scalene\triangle=\sqrt {s (s-a)(s-b)(s-c)}\\ \\ \star \sf Rhombus =\dfrac {1}{2}\times d_1\times d_2 \\\\ \star\sf Rhombus =\:\dfrac {1}{2}p\sqrt {4a^2-p^2}\\ \\ \star\sf Parallelogram =Breadth\times Height\\\\ \star\sf Trapezium =\dfrac {1}{2}(a+b)\times Height \\ \\ \star\sf Equilateral\:Triangle=\dfrac {\sqrt{3}}{4}(side)^2\end {array}}\end{gathered}$

⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀

Answer 2

★ The perimeter of the rectangle is 14 x units.

Step-by-step explanation

Analysis -

‎ ‎ ‎ ‎ ‎ ‎ ‎ In the question, it has been given that the length of a rectangle is 5x – y units whereas, its breadth has a measure of 2x – y units. We've been asked to find the perimeter of the rectangle.

Solution -

‎ ‎ ‎ ‎ ‎ ‎ To solve this question, first of all, we must be thorough with the formulae which is being a part of Mensuration chapter and the concept of simplifying algebraic expressions because, in this question, we will be simplifying the expression which we will derive from the appropriate formula by using the given information.

We know that the 2 dimensional figure Rectangle has three formulas in the chapter.

• Perimeter = 2(l + b) units
• Area = lb sq.units
• Diagonal = √(l² + b²) units

As per the analysis, we have to use the formula which we use to find the perimeter of a rectangle.

Let's plug in the values in their respective places, in the formula.

$\dashrightarrow{ \sf{2(l + b) \: units}} \\ \\ \dashrightarrow{ \sf{2 (5x - y + 2x + y) }} \\ \\ \dashrightarrow{ \sf{10x - 2y + 4x + 2y}} \\ \\ \dashrightarrow{ \sf{10x + 4x + 2y - 2y}} \\ \\ \dashrightarrow{ \sf{14x + 2y - 2y}} \\ \\ \dashrightarrow{ \sf{14x + 0}} \\ \\ \dashrightarrow \underline{ \boxed{ \frak {\pmb{14x\: units}}}}$

This expression can't be further simplified and the question doesn't have a exact unit. So, this is the required answer.

Therefore, the perimeter of the rectangle is 14x units.

______________________________________________